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(04.02 LC)

Triangle ABC is similar to triangle PQR, as shown below:


Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB = c, BC = a, and AC = b. Triangle PQR has sides PQ = r,

Which ratio is equal to b:q? (1 point)



b:a


c:r


r:a


q:c

Verified Answer :

∆ABC~∆PQR

AB~PQ , c~r

c:r

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that triangles ABC and PQR are similar triangles.

The sides of the triangle ABC are AB = c, BC = a, and AC = b. Triangle PQR has sides PQ = r, QR=p and PR=q.

If two triangles are similar, then their corresponding sides proportional.

Since ABC and PQR are similar triangles, therefore

\(\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}\)

\(\frac{c}{r}=\frac{a}{p}=\frac{b}{q}\)

It can be written as

\(\frac{c}{r}=\frac{b}{q}\)

\(\frac{a}{p}=\frac{b}{q}\)

Therefore b:q is equal to c:r or a:p. Option 2 is correct.

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